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<div>:: <span class="kw">deftheorem </span>   defines <a href="sublemma.html#K3" title="SUBLEMMA:func.3">Val_S</a> <a onclick="hs(this)" href="javascript:()">SUBLEMMA:def 1 : <br/></a><span> for <font color="Olive" title="b1">Al</font> being    <a href="qc_lang1.html#M1" title="QC_LANG1:mode.1">QC-alphabet</a> <br/>  for <font color="Olive" title="b2">S</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="substut1.html#K38" title="SUBSTUT1:func.38">CQC-Sub-WFF</a> <font color="Olive" title="b1">Al</font><br/>  for <font color="Olive" title="b3">A</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b4">v</font> being    <a href="funct_2.html#M2" title="FUNCT_2:mode.2">Element</a> of  <a href="valuat_1.html#K2" title="VALUAT_1:func.2">Valuations_in</a> (<font color="Olive" title="b1">Al</font>,<font color="Olive" title="b3">A</font>) holds   <a href="sublemma.html#K3" title="SUBLEMMA:func.3">Val_S</a> (<font color="Olive" title="b4">v</font>,<font color="Olive" title="b2">S</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="substut1.html#K2" title="SUBSTUT1:func.2">@</a> <span class="p2">(<span class="default"><font color="Olive" title="b2">S</font> <a href="substut1.html#K19" title="SUBSTUT1:func.19">`2</a></span>)</span></span>)</span> <a href="relset_1.html#K4" title="RELSET_1:func.4">*</a> <font color="Olive" title="b4">v</font>;<br/></span></div>
